Question

Rosie is building two dog houses, one for each of her dogs. One dog is bigger than the other, so she decides to make one house 12
the size of the other. How much smaller will the surface area of the small house be compared to that of the big house? Write your response as a fraction.(1 point)

Answer 1

If the small house is 1/2 the linear size, surface area scales by (1/2)^2 = 1/4.
So the small house has 1/4 the surface area of the big house, i.e. it is smaller by 1 − 1/4 = 3/4.